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THEOREMS ON APOSTOL-EULER POLYNOMIALS OF HIGHER ORDER ARISING FROM EULER BASIS

Erdogan Sen
장전수학회 (Jangjeon Mathematical Society)|2013.04|Advanced Studies in Contemporary Mathematics|제23권 제2호|pp. 337-346

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참고문헌

키워드

Bernoulli numbers and polynomialsEuler numbers and polynomialsHermite polynomialsApostol-Euler polynomialsEuler polynomials of higher orderBernoulli polynomials of higher orderApostol-Euler polynomials of higher order.
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초록

Recently, Kim et al have introduced an useful method to get interesting identities related to Bernoulli and Euler polynomials arising from Euler polynomials of higher order (see [16]). Araci et al [7] also obtained many interesting equalities related to Genocchi polynomials of higher order arising from Genocchi basis. In this paper, we consider Apostol-Euler polyno-mials of higher order arising from Euler basis by using the method of Kim et al. We also try to derive a numerous of interesting properties related to special functions.

Abstract

Recently, Kim et al have introduced an useful method to get interesting identities related to Bernoulli and Euler polynomials arising from Euler polynomials of higher order (see [16]). Araci et al [7] also obtained many interesting equalities related to Genocchi polynomials of higher order arising from Genocchi basis. In this paper, we consider Apostol-Euler polyno-mials of higher order arising from Euler basis by using the method of Kim et al. We also try to derive a numerous of interesting properties related to special functions.

참고문헌 (27)

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  4. S. Araci, "A uni…ed generating function of the q-Genocchi polynomials with their interpolation functions", Proc. Jangjeon Math. Soc, 15(2) (2012)
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  9. T. Kim, "An identity of the symmetry for the Frobenius-Euler polynomials associated with the fermionic p-adic invariant q-integrals on Z p", Rocky Mountain J. Math, 41(1), pp.239~247 (2011)
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  18. H. Jolany, "Some results for Apostol-Genocchi Polynomials of higher order", Bulletin of the Malaysian Mathematical Sciences Society, 36(2) (2013)
  19. Q. M. Luo, "The multiplication formulas for the Apostol-Bernoulli and Apostol-Euler polynomials of higher order", Integral Transforms and Special Functions, 20(5), pp.377~391
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  22. I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
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  27. K. Shiratani, "On the Euler numbers", Mem. Fac. Sci., Kyushu Univ., Ser. A, 27, pp.1~5 (1973)

관련 논문AI추천

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